Purely exponential Diophantine equations with four terms of consecutive bases: Contribution to Skolem’s conjecture

Key Points

• The findings illustrate key solutions to purely exponential diophantine equations with four terms, enhancing understanding of such equations.
• Insights into these equations support aspects of Skolem's conjecture, especially relating to number-theoretic properties.
• Investigation involved theoretical analysis of equations and their link to conjectured frameworks in number theory.
• These insights underline the complexity of diophantine equations, suggesting further exploration and validation are essential.